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Finding the Fourth Proportional to 2,032.57, 3,048.81 and 936.94

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Solution

The fourth proportional to 2,032.57, 3,048.81 and 936.94 is: 1,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.57 : 3,048.81 = 936.94 : x
  2. Step 2: Convert to fraction form
    2,032.57/3,048.81 = 936.94/x
  3. Step 3: Cross multiply
    2,032.57x = 3,048.81 × 936.94
  4. Step 4: Simplify right side
    2,032.57x = 2,856,545.95
  5. Step 5: Solve for x
    x = 2,856,545.95/2,032.57
  6. Step 6: Final answer
    x = 1,405.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.